Parametrization of central Frattini extensions and isomorphisms of small group rings.

DOI10.1007/s11856-006-0003-5zbMath1120.20004OpenAlexW2028440407MaRDI QIDQ877467

Martin Hertweck, Marcos Soriano

Publication date: 23 April 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-006-0003-5

zbMATH Keywords

finite \(p\)-groupsgroup extensionsaugmentation idealsmodular group algebrasmodular isomorphism problemsmall group rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

The modular isomorphism problem: a survey ⋮ On group invariants determined by modular group algebras: even versus odd characteristic ⋮ Computing automorphism groups and testing isomorphisms for modular group algebras. ⋮ On the modular isomorphism problem for groups of class \(3\) and obelisks

Uses Software

• GAP

Cites Work

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• Periodic Modules over Modular Group Algebras
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• The Annihilator of Radical Powers in the Modular Group Ring of A p-Group
• Endliche Gruppen I
• The Structure of the Group Ring of a p-Group Over a Modular Field
• Isomorphisms of p-adic group rings

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